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Glauber's salt, sodium sulfate decahydrate (Na2SO4 * 10H2O) undergoes a phase transition (that is melting or freezing) at a convenient temp of 32 degrees C

Na2SO4 * 1o H2O(s) yields Na2SO4 * 10 H2O(l) Change H = 74.4 kJ/mol

As a result this compound is used to regulate the temperature in homes. It is placed in plastic bags in the ceiling of a room. During the day, the endothermic melting process absorbs heat from the surroundings, cooling the room. At night, it gives off heat as it freezes. Calculate the mass of Glauber's salt in kilograms needed to lower the temperature of air in a room by 8.2 degrees C at 1.0atm. The dimensions of the room are 2.8m*10.6m*17.6m, the specific heat of air is 1.2 J/g C, and the molar mass of air may be taken as 29.0g/mol.

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Volume of room = 2.8m*10.6m*17.6m = 522.4 (m3)
Density of air = 1.168 kg/m3
Mass of air in room = ...

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